Snyder space revisited
High Energy Physics - Theory
2015-05-30 v2 Mathematical Physics
math.MP
Abstract
We examine basis functions on momentum space for the three dimensional Euclidean Snyder algebra. We argue that the momentum space is isomorphic to the SO(3) group manifold, and that the basis functions span either one of two Hilbert spaces. This implies the existence of two distinct lattice structures of space, on which continuous rotations and translations are unitarily implementable.
Cite
@article{arxiv.1108.1832,
title = {Snyder space revisited},
author = {Lei Lu and A. Stern},
journal= {arXiv preprint arXiv:1108.1832},
year = {2015}
}
Comments
22 pages